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Martin Admek (UHK-FIM-KIT)O  =.PRIPO Principy po ta o$V10.11.2009  cvi en . 8 Karnaughovy mapy $,**Organiza n drobnosti dochzka F  $$Karnaughova mapa<nzorn grafick 2D zobrazen, pro pYepis tabulky do algebraickho vrazu nalezen podobnch kombinac, kter vedou ke stejnmu vsledku zjednoduaen logick funkce sestaven mapy 2 Ydky (sloupce) pro dva stavy jednoho vstupu pro 3 a vce vstupo se pYidaj sloupce (Ydky)  pYeklopen*kk*Smysl Karnaughovy mapy)Struktura Karnaughovy mapy'BTvorba oblast v Karnaughov map sdru~ujeme  sousedn pol ka pol ka, kter se lia prv jednou promnnou pro 2 promnn sousedn pro 3-4 promnn tak  sousedn pYes kraje pro 5-6 promnnch tak symetrick podle os mapy a kvadranto pro sn~en po tu promnnch, na kterch dan st fce. zvis po et sloupco/Ydko oblasti je mocnina dvou ne nutn, pokud si pYedstavme logiku dan oblasti a zvldneme okam~it vytknut pYed zvorku uzavYen vytvYme pouze oblasti pln jedni ek, bez nul (u sou tov formy) obdlnkov tvar co nejvta rozmr oblasti zvislost na co nejmn promnnch co nejmena po et oblast ale musme pokrt (vy erpat) vaechny jedni ky (u sou tov formy) mohou se pYekrvat ke stejn jedni ce mo~eme paraleln dojt vce cestami musme (co nejjednoduaeji)  vyrobit vaechny po~adovan  1 P.PP?P,P^P PSPP#PPAPP7P<P.?  ,^ 7  #$$((@,,,,007448888!88+Ukzka tvorby oblastpmapa: 0100 1100 0011 1111 1. tverec vpravo dole (nejvta oblast) 2. ne tverec (vlevo nahoYe je  0 ), nutno jako dv oblasti po dvou 3. dole cel Ydek (mo~e se pYekrvat s tvercem)(%PYklad&% PYklad&1) bez mapy  algebraick vraz  NDF (pln normln disjunktivn forma  OR, nebo) X= Y= 2) sestaven mapy; vyzna en oblast; zpis fc: X= Y=ZWZZ1ZZW1  (% PYklad3) zjednoduaen algebraickho vrazu Booleova algebra, De Morganovy zkony 4) nkres schmatu zapojen>%'%',% %#*VytvoYen logick fce.pravdivostn tabulka podle zadn (vstupy, vstupy) Karnaughova mapa algebraick vraz minimalizace alg. vrazu (Booleova algebra) pYevod vrazu pro realizovatelnost zvolenm typem sou stky, napY. 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Q LB  c $D3   x LB  c $DVV  <*u  \  a  < *oQV bp  <P*_{ {  Pravdivostn tabulka fce.Y: a b y 0 0 0 0 1 1 1 0 0 1 1 1 => y=anon * b + a*b => 4 sou stky ,(  0s* 8 %Karnaughova mapa: % 0dB ` d$=> y=b => 0 sou stek (lze zjistit i vahou nebo pravou algebraickho vrazu pomoc Booleovy algebry, ale v map je to nzornja a snadnja) ${ H  0޽h ? 3f{FEɄ___PPT10i.@a +D=' = @B +c  ) 0 z r 0  (  r  S f*0 `   j pp  # #"    <\ ?@ pp  bab @`  <v?p@ p  bab @`  <T?@ pp bab @`  <T?p@ p bab @``B   0o ?ppZB   s *1 ?pp`B   0o ?p p `B   0o ?pp ZB   s *1 ?@ p@ p `B  0o ?pp LB @ c $DAALB  c $D 3 LB  c $DA~ ! ALB  c $D  LB  c $D+@ +  <n -U  a  <<^ " b0  < . (je Ye  o sou tov form; existuje i sou inov) Pro 3,4, vce promnnch vizte tabuli...H  0޽h ? 3f{FEɄ___PPT10i.@a +D=' = @B + ' 0  0(  x  c $*0   x  c $+0@Z  H  0޽h ? 3f{FEɄ___PPT10i.:a`꽊+D=' = @B +< + 0N0  $(  r  S **0 `   r  S *+0 `  H  0޽h ? 3f{FEɄ80___PPT10.eS&8. % 0 -- CEl8-(  lr l S T*0 `   ,   l3 #":.           `  l B?  I1,(" l B?  I1,(" l B?  I1,(" l B?  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ZB l s *1 ?aaZB ?l s *1 ?HHZB @l s *1 ?//ZB Al s *1 ?ZB Bl s *1 ?ZB Cl s *1 ?ZB Dl s *1 ?H l 0޽h ? 3f{FEɄ80___PPT10.:a|j} & 0  x$(  xr x S @*0 `   r x S +0 `  H x 0޽h ? 3f{FEɄ___PPT10i.:a`꽊+D=' *= @B + ( 0  0(  x  c $|*0 `   x  c $T+0 `  H  0޽h ? 3f{FEɄ___PPT10i.:a`꽊+D=' *= @B + # 0  ` \(  \r \ S *0 `    \ S 4 +0 `  "p`PpX \ 0A?!H \ 0޽h ? 3f{FEɄ___PPT10i.\8+D=' *= @B +}  0 t$(  tr t S *0 `   r t S +0 `  H t 0޽h ? 3f{FEɄ___PPT10i.K`3+D=' *= @B + 0 zr@ (  X  C     r  S   0   H  0޽h ? 3380___PPT10.,b 0 zrp` (  `X ` C     r ` S F  0   H ` 0޽h ? 3380___PPT10.G@s[ 0 zrx (  xX x C     r x S   0   H x 0޽h ? 3380___PPT10.K@K3# 0 zrp ` (  `X ` C     r ` S   0   H ` 0޽h ? 3380___PPT10.\8$ 0 zr h (  hX h C     r h S H]  0   H h 0޽h ? 3380___PPT10.:a IK% 0 zr p (  pX p C     r p S   0   H p 0޽h ? 3380___PPT10.:a|j& 0  |&(  |X | C      | S   0   (Fvlt pstpn n jdtntlv oblst; a/b/c/d tdy chcm, xor nchcm, xor n_nm nzlz? H | 0޽h ? 3380___PPT10.:a`꽊' 0 ~ (  ^  S     x  c $  0   H  0޽h ? 3380___PPT10.:a`꽊( 0 ~ (  ^  S     x  c $p  0   H  0޽h ? 3380___PPT10.:a`꽊) 0 zr@  (  X  C     r  S d   0   H  0޽h ? 3380___PPT10.@a * 0 ~` (  ^  S     *x  c $*  0  * H  0޽h ? 3380___PPT10.@a 6+ 0  F(  X  C       S dB  0   Hknc vkld$H  0޽h ? 3380___PPT10.e/r  ` *Lb Z 0  /o  Z/=K;M@[s 1Oh+'0 hp    TNPW1Martin AdmekBeamIng. Martin Admek691Microsoft Office PowerPoint@gV@WS,@=eGhg  ,V'&" WMFCI <8?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijlmnopqrtuvwxyzRoot EntrydO)Pictures Current UsersSummaryInformation(PowerPoint Document(QDocumentSummaryInformation8k